CMA Foundation Maths | | L 5 | Dec 2026 & June 27 | CMA Pushkaraj Bedekar

追加: 2026-05-12

[00:00:33]Romario Shepherd is having fun, I think Bethel up kala ko apna do ka nahi salt kula salt apna salt injuredla is kya kaam saala ka IPL aaye then share the link ok yes if there is going to be a comeback or not salt is not fixed then don't get confused son salt important player is our Urvil Patel, earlier he used to hit sixes in 13 balls 50 but he did not hit sixes in an over, not good, world recordla, just missed, yes very good afternoon afternoon friends how are you all, yes very good afternoon, has the link come, see in which language am I talking, I was talking in Marathi, the people sitting in front of us were talking in Marathi.

[00:02:27]Come on, join and we will start quickly. I ca n't see this TV.

[00:02:33]What is its remote? Which one is it? This is not it. This is probably it. Did it start or not? Is there a button there? I will turn on the TV button. Yes. Yes. It has n't started yet. Isn't it? Done. Done. Is it on or not?

[00:03:14]Yes.

[00:03:34]Online Student Just Wait Yes, the projector is starting here. Just wait for a minute.

[00:03:47]Hey, I can't see it yet, still came, yes sorted, yes friends, all the difficulties have been removed and now we are going to start, yes ready, hey, don't talk on the phone, who is new? He is new, so he doesn't know which class he is in.

[00:04:25]Well, we shifted the class today, so yes, all the CMA Foundation papers will be on the same day.

[00:04:36]Yes one day finish one day finish absolutely yes come on let's begin friends in the last class we did word problems of ratio proportion it is equal do you remember do you remember anything let's see how much you remember let me ask you a revision question which team I support RCB B boy RCB Virat Kohli even if he gets out on zero he is the best not only in dancing our man means whether he scores runs himself or not he is the best in dancing he is the best CBSE result has not come yet it has not come you have not come yes I don't know how to them who sir yes come on friends one question yes what nothing write the question then let's write the question continuing our two numbers word problems today two numbers are in the ratio two numbers are in the ratio 5:8 two numbers are in the ratio 5:8 full stop what happened? Call him quickly. Yes, if four is added to each, then the ratio becomes 11:7.

[00:07:08]Find out the numbers.

[00:07:16]Find out to numbers.

[00:07:22]Tell me, have you asked such questions? Yes. So tell me what you do first?

[00:07:29]No. No no, first first. Yes, what do you assume about numbers? 5x and 8x Okay, so let's get started.

[00:07:37]Let numbers be 5x and 8x.

[00:07:41]Let numbers be 5x and 8x equal. Ok. 5x and 8x are numbers here.

[00:07:53]What have you done in it? 4 is added to each. So tell me what your numbers will be.

[00:08:02]very good. 5x + 4 / 8x + 4 and what will this ratio be? I have said so. 11:17 So this is the ratio 11 / 17. Is it correct? Now what is the first target after this? Yes.

[00:08:18]Finding the value of x by cross multiplying.

[00:08:20]Search. Then cross multiply this.

[00:08:24]Cross multiply this. 17 * 5x + 4 = 11 * 8x + 4 then what is 17 * 5x? Tell me will it be 85x? + 17 * 4 = 68 11 * 8x 88x 11 + * 44 Terms of x Numbers on this side 88x - 85x = 68 - 24 88x - 85x 3x will come. 68 - 44 will this become 24? Look, the value of x is coming out to be 8, isn't it yours?

[00:09:18]Did the value of x come out to be 8? And then we have to find the numbers, right? So 5x and 8x means 5 * 8 40 and 8 * 8 64 will be two numbers. 40 and 64 is the answer. Did yours come? You are doing it. Do it quickly, did you get it? Very good boy.

[00:09:43]Yes Saloni Nidhisha Sagar is correct. Safe Very Good.

[00:09:52]Aakanksha correct.

[00:09:56]Sagar is correct. Randhir is correct. Geeta Priya Ashu correct. Khushi correct, Nidhi correct.

[00:10:09]Shivam correct very good very good.

[00:10:13]Ritashi is absolutely right.

[00:10:18]Jayu correct.

[00:10:20]Chaurasia is correct. Mohit correct. very good.

[00:10:25]Very good friends. Well done Yuvraj, you have given some wrong answers. The thinking is correct. Very good Pari very good Disha yes Khushi Yogesh there are probably many people named Khushi here.

[00:10:50]Ishaan is correct. Well done Sapna Harsh very nice. It's done. Has everyone's name come? did you get it? Sure enough. Okay, now I am going to ask you a tough but important question.

[00:11:08]Ok? Write.

[00:11:10]Write the question by marking it with a star. By marking it with a star. Online students. Now look carefully. This is an important question and also a little different. Ok? Write Incomes of two persons are in the ratio 2:3 Incomes of two persons are in the ratio 2:3 three full stop Their expenses are in the ratio 3:5 full stop If each person saves 50 If each person saves 50 then find out their incomes Find out their incomes Written ok understand this very variant question carefully.

[00:12:55]Read the first statement from here to here, incomes of two persons are in the ratio 2:3, so what will be the assumption of their income? 2x & 3x So let's get started. Let their incomes be let their incomes be 2x and 3x written. Ok. Now everyone focus carefully.

[00:13:31]What am I saying? There are three things going on here. One is income, second is expenditure and third is savings. Ok? Now what is the relation between these three?

[00:13:42]Understand this. Can anyone tell me what is the relation between income, savings and expenditure?

[00:13:47]What equation will he form?

[00:13:51]Income minus expenditure equals savings.

[00:13:54]Look, don't just write. See, income minus expenditure is equal to saving. Can we say this? See, if I earn ₹100, then what is this ₹100, it is my income, out of which I spend ₹60, so what is this ₹60, it is expenditure, if we differentiate it then I have saved ₹40, it means it will become equal, so what is the basic equation, income minus expenditure equal to saving equals, can I write this as income minus savings = expenditure, tell me will this work? If I write this then this saving will be shifted here and will become minus. If the expenditure is shifted here, it will become a plus. Equal so basic we need this equation. So write this down in your notebook. Income minus savings = expenditure.

[00:14:56]Income - Savings = Expenditure.

[00:15:05]Ok. We have assumed 2x the income of the first person.

[00:15:09]How much is his saving given in the question?

[00:15:15]If each person saves ₹50, it means both the people save ₹50. So if the income of the first person is 2x and his savings are 50, then can I say that his expenditure will be 2x - 50.

[00:15:33]Is it okay? Did you earn it? Saved 2x ₹50.

[00:15:37]So that means 2x - 50 is his expenditure.

[00:15:41]Similarly, tell me the expenditure of another person.

[00:15:45]3x - 50 is correct. What happened to these two? Expenditures are done. So can I speak? 2x - 50 / 3x - 50 = 3/5 What is this 3/5? This expenditure ratio is given.

[00:16:05]So I wrote this expenditure.

[00:16:08]Wrote this expenditure. Write the ratio of both.

[00:16:10]Which is equal to 3/5 correct, are you getting the point? Write it down.

[00:16:24]What has been said about finding noted?

[00:16:26]Find what to do? He said income.

[00:16:30]We have assumed the income to be 2x and 3x, for that basic calculation will have to be done to find the value of x.

[00:16:34]What will you do for that? Cross multiply it. Then this fi here this here let's proceed 5 * 2x - 50 = 3 * 3x - 50 So 10x - 250 = 9x - 150 So 10x - 9x = 250 - 150 So x = 100 Is this coming out? See it is equal. x 100 What do we need to find?

[00:17:21]2x and 3x so 2x means 2 * 100 that is = 200 and 3x means 3 * 100 that is 300 yes online student well done everyone is saying the perfect answer 200 and 300 so let's discuss this overall question once again because it is important, it was a little different as compared to the previous questions, this one was a little different as compared to the previous questions that we had seen.

[00:17:51]Ok.

[00:17:53]What did you say in the question at the beginning?

[00:17:55]Whose ratio was given? Of income. How much did you give?

[00:17:58]2:3 So according to that, what did we assume as income?

[00:18:02]Yes, x did not assume. Assumed 2x and 3x.

[00:18:06]Then what should come to your mind? Relation between income, savings and expenditure. What is his relation? Income minus savings equals expenditure. So the income of the first person is 2x. He saved ₹50. So income 2x - 50 saving that is equal to what his expenditure is, similarly what was the expenditure of the other person 3x - 50 then wrote the ratio of both of them 2x - 50 / 3x - 50 equal to 3/5 is given in the question and then by cross multiplying found the value of x and after that when income was asked then found 2x and 3x. Is it clear now? 100% online students? Say. If you are asked about expenditure, you have found out the income, 200-300, how much is the saving out of that? If you subtract 5050 then subtract 50 from 200, how much will you get? If you subtract 50 from 150 and 300, i.e. 250, then this will become their expenditure. So if you are asked about your income, this is your answer.

[00:19:11]If you are asked about expenditure, this is your answer. Did you not understand Sheetal Wadhawan's question at all?

[00:19:33]What does he think of you? Look, how do we know that the entire savings and income statement has been taken as expenditure, I mean, what is the meaning of this, I do not understand, I will not explain the question to you. How do I answer?

[00:19:52]Write the next question.

[00:19:55]Next again Star Mark What must be added system of the ratio 9:31 so that ratio becomes 1:3 okay? Now listen carefully. Now this is a slightly different question. Why am I calling him one? Listen to this carefully. Please read the question. What is? What must be added to each term? Underline this each term.

[00:21:36]Understand the question in each term. What must be added to each term? Meaning, what needs to be added to each term? So that ratio becomes 1:3.

[00:21:49]Now here we have to add in the terms. What must be added to each term in terms. Now we have already read that there are two terms in ratio.

[00:22:01]A numerator has a term. What do you call this? An antecedent and a denominator term.

[00:22:08]That is called consequent.

[00:22:10]Meaning, the number we have to add, we have to add it in these two terms 9 and 31. Are you getting the point? We have to add these two terms. Let's start with equals. Let's get started.

[00:22:25]Let x be added to each term let x be added to each term written. Ok. Now tell me, if I add x to this, what will be the term of the numerator? Let us write 9 + x as equal. If I add x to 9 + x 31, what will it become? 31 + x and what is the ratio of the two? This is a given. 1:3 so can I write equal to 1/3. So what do we do now to find the value of x? Cross multiply as usual.

[00:23:27]Then take this here and take this here 9 + x * 3 = 1 * 31 + x 9 * 3 = 27 + 3 * x is 3x 31 * 1 31 + x * 1 x terms of x on one side remaining terms on the other side so 3x - x = 31 - 27 so 2x = 4 so x equals to what will come out? Two 4 / 2 Just what I was looking for. There is no need to do anything further. What do we need to add? x We assumed.

[00:24:16]Found him.

[00:24:21]Tell me the matter. I will explain to you the questions I have asked you to solve so far in detail.

[00:24:26]100% if you have any problem online students tell me whether it is clear to you and if you have any doubt you can ask tell me say yes yes that 11 and 33 will come this is not asked we were only asked what to add so we will add x Romit is asking why did you not take 9x because what did you ask us what numbers we did not ask what to add in which term so 9 and 31 these terms are to be added in this we have to add equal so that is why we added x in it we added x to x and 31 and its ratio is given as 1/3 equal Simran is asking if we write this three in front then why is it written behind this one oh so it has to be written anywhere a * b or b * a it remains the same it will do 2 * 3 or 3 * 2 it will remain the same that's it understood this yes oy why is it written here here he said write here what difference does it make yes Yogesh bhai I have explained it yes ok let's move ahead ok now some questions from the book I will get it done for you.

[00:26:26]Wait from the book. Yes.

[00:26:29]Yes. Star this question also, this is ours, this is ours, this is ours, this is ours, yes these are the first eight questions. Nine and 10 are variation questions. So I will get it done when I teach that. I am not getting that done today.

[00:26:45]I will get that done for you mostly the day after tomorrow.

[00:26:47]Today we will do some questions, tomorrow we will finish ratio proportion, day after tomorrow variation, variation will be finished in a day so don't worry about it, we do n't have to do Yashi, what should be the value of x, I asked, so just x means whatever had to be added has been taken out, what is the need to do beyond that, there is no need, okay? Now write it in your notebook. This is page number 53. There may be some discrepancies in your study material.

[00:27:29]Jyoti, now I had explained that last question to you twice. You should look back at that.

[00:27:35]Otherwise, we will keep explaining one question four times, three times, four times.

[00:27:37]So friend, I will have to spend my life here only, that is, next June. Isn't it? So yes, star it at number 16, star it, page 53, right? This is 52 or 53, 53. In mine it is 53, in yours it will be 59, 60 etc. In the printed copy it is number 58, okay Kanishka, page number 58, now listen carefully to question number 16, listen carefully. A if 4 6 pp 27 q r in continued proportion. Ok? What does continued proportion mean? See this. Let me explain a simple thing in continued proportion. First, if you take three numbers, then it is a / b = b / c, this is called continued proportion. Ok? Yes. Then that c = c / d equal to would be like this that = c / d = d / etc. This is called continued proportion equal to. Now let us do one thing.

[00:28:47]You have been asked for this third number, right? Do one thing, continued proportion, write it like this. Keep it written down.

[00:28:58]I will tell you how to use it.

[00:29:07]Hi Sir.

[00:29:08]Hey, how are you brothers? Is your session over today?

[00:29:12]Is there a break now? Well, enjoy it or are you guys enjoying it? Are you studying for your exams or not? You are not doing it. Look, look how shameless he is.

[00:29:23]His exams are in June. Do it, do it. I take lectures. We will talk later at our leisure.

[00:29:30]Ok. Yes. What did you write? wrote.

[00:29:37]Ok. What to do now? Take these three numbers C. I have asked for the third number and please consider this in it.

[00:29:45]Ok? So a / b means first number divided by second number. Tell me what will you write? 4 / 6 ok? Equal to b / c means second number divided by third number. Now tell me what? 6 / p correct. wrote.

[00:30:04]Now we have to find the value of P. Cross multiply. Take this P here, take 6 here and take four here. So P = 6 * 6 / 4 then what will be the value of P? It will not come.

[00:30:19]End. A type of sweet.

[00:30:28]Noted finished. Now look, I will tell you simply what to do. The value of P is nine, right? Everyone's P value has come. Now take these next three numbers. So there is no need to worry too much. Then what to do?

[00:30:44]This is the result of taking the next three numbers P 27 and Q in which the value of P has already reached nine.

[00:30:55]27 and q, apply the same technique to these three numbers, first by second is equal to second by third, don't worry much about it, first by second means what should I write, 9 / 27 = / third means what should I write, 27 / q, okay, so take this q here, 27 here and nine here, so Q = 27 * 27 / 9, tell me how much will it be?

[00:31:31]81 So P's answer became my own nine and Q's answer became my own 81 B option equals let me explain this once again. Have you written it? Ok. Continued proportion means what to do? Simplify.

[00:31:48]Take three numbers each. First divided by second equals second divided by third. I have done this.

[00:31:52]Take these three numbers 4, 6 and P.

[00:31:55]So 4/6 = 6/P cross multiplied. The value of P is arrived. Then as soon as P's came, P had brought his nine. Then 27 is given and then the next number is Q. Then take these three numbers. Again the same first by second equal to second divided by third. run out of. Done.

[00:32:17]Ok. is it done.

[00:32:19]Now see, this is what happened to us.

[00:32:26]Now we will do our question number 18. Now 18 friends listen listen listen 18 questions, you try to solve them with some options. Let's see what you understand? Solve it with options. It will be better if you solve it through option. That's what I think. If you solve it through options, let's see if you get the answer? It is simple to do after thinking, there are not many complications. It will be done easily.

[00:33:11]Dev Bhai, do whatever you feel is right.

[00:33:14]What should I tell you now?

[00:33:25]Look, some people are saying C. Some people are saying D. What's coming to you? Did you get anything or not? Yes, I did not come.

[00:33:33]Oh, it's simple.

[00:33:35]Look, some people say yes, you are giving the wrong answer.

[00:33:42]Hey, you listen carefully. Listen carefully.

[00:33:44]Look what he said. Find two numbers whose mean proportional is at. First of all, have I taught you this concept or not?

[00:33:53]This concept of mean proportional at has been taught.

[00:33:55]Well, what number does mean proportional mean? Equal to the middle. So the first number if A is the second number mean proportional means eight. And the third number is C. So what is your basic condition? Remember three numbers.

[00:34:12]b² = ac so can I say 8² = ac. So ac equal to what?

[00:34:25]What is the square of 8? 64, so the multiplication of the values ​​of a and c should be 64. Is it coming in D option? Are you coming? If I do 64 * 8, will the result be 64 only?

[00:34:42]No. So this option went to D. Look at option B, how much will 4 * 2 come to? It will come at 8.

[00:34:48]How much do I need? 64 So this is also gone. Now there are only two options. Hey wait, let me tell you this option immediately. Hey, there are two options left, so wo n't you consider option C? It is not like seeing both. In this you will see that 8 * 8 will become 64. But hey, 16 * 4 is also 64. Is it or not? Then what to do now? Now what is the condition next? See that also. Now what is written next?

[00:35:17]See. The first number is the square of the second. First number means first and second among the options. Actually, the third in this is first and third. But it is said first and second in the options, right? Meaning only two numbers are given in the option. So is the first number the square of the second number? Is the square of eight always eight? No. Then it is wrong, isn't it?

[00:35:39]Now tell me what is the square of 4? 16 means which option is satisfying the condition? When you see option C, you should read the entire question carefully.

[00:35:51]Hey, here comes its multiplication 64.

[00:35:54]Let's get Option A happy. Oh no, there could be something wrong with that. Did you read further? Did n't read. The full equivalent of reading.

[00:36:09]Mohit, no problem, do as you like, everyone has completed it till here, ok, you have to solve the next question also from the options, read it carefully from the options, use the options properly and solve question number 19, read 19 carefully, what does the question say?

[00:36:41]I am telling you the option, you will get it easily by using it.

[00:36:56]What number must be subtracted from each of the numbers to make them proportional? We are talking about four numbers.

[00:37:06]When are four numbers in proportion?

[00:37:08]What is his condition?

[00:37:10]AD = BC, but what should be subtracted from these four numbers? If you have asked this then look at the options, use the options and tell me what is the correct answer. The online student has given the answer, good, good, good, go through the options, use each option one by one, use each option carefully, did you use the first option?

[00:37:54]How do you use the option? I am not able to understand this.

[00:37:56]See option nine. The first option is nine, right? What question have you asked? Read. Read it, read it out loud.

[00:38:04]Subtracted. So you have to subtract each number from this. If you want to find such a number then what should you do? Subtract this nine from each number and subtract nine from each number. What will be 12 - 9?

[00:38:17]How much will be 12 - 9? Three will come.

[00:38:20]How much will be 13 - 9? How will 13 - 9 give 10? 4, not 24 - 9 will give 15 and 29 - 9 will give 24 - 9, 15 will come, right? 16 You are saying. Hey, why are you taking so much tension? Chill out. Yes. 29 - 9 to 20. Ok? This has come to an equal level. Now are these four numbers in proportion or not? You have to check it. What will you do? Does AD = BC come out? See 3 * 20 tax.

[00:39:06]How much will it cost? 60 and 4 * 15 did it come out equal, meaning if you do not subtract then these numbers will come in proportion or not, if they come then which number should be subtracted, nine should be done, option A is finished, write it down and keep it in your notebook, later it should not happen that I did not understand you, how did I do it, will I explain it to you, girls, yes online students, did I understand you? Now I am going to ask you two more questions. So you have to answer both those questions yourself.

[00:39:54]I made you write those questions in class today itself.

[00:39:56]So let's see what you can do?

[00:40:03]Randhir is saying that the answer will come from the first option, so tell me madam, should I check the other options or not? If you are so serious, then why are you so tensed? There is nothing like someone leaving you in life, life is going well, there is no problem, the sunlight has increased a lot, but this should not have any effect on our studies. Don't take so much tension. Everyone is feeling the sun. Isn't it? Look how serious I have become.

[00:40:38]He is in tension. Isn't it? Are you tensed? No. You have definitely understood this question. Is he your friend? I have joined only today. So don't take so much tension. Chill out. Look at this guy. He doesn't know anything. Still he keeps laughing. Isn't it? Don't take tension. He will get it but only if he works hard.

[00:41:02]Look at this guy, he is telling him to subtract nine.

[00:41:05]He is doing something different. Still I don't take tension. Not much to worry about. Ok. Yes.

[00:41:14]Hey Ritesh Bhai, I am good.

[00:41:23]Yes. So the question was not answered. If you get the answer from the first option, will you check the rest or not? He will not do it, explain it to him.

[00:41:30]Only one option is equal in the exam.

[00:41:32]Yes. If you are given something like this in the question, both A and B, then you will have to look at the second option also.

[00:41:38]Is it or not? Only then will he do it. Otherwise he will not do it. Isn't it? Need a lunch break.

[00:41:43]Speak. Hey wait a minute. I have to do two more questions here. I will ask two more questions.

[00:41:48]Then take whatever break you want.

[00:41:51]Wait, let me take you to a different page.

[00:42:16]Yes, you can write it in your notebook. I have page 10 in this. Page 10 Page 10 Yes. And here on page 10 there are many questions like prove that etc. Will you be able to prove that? Will not come. The exam is MCQ based. So you don't get the questions like prove that. Ok? He should not take much tension. Ok? Let us go.

[00:42:45]Question number 11. I will present the answer to this in front of you. I have done this today only. Question number 11, do question number 11, if you want you can refer to what you have solved, if you want to refer to what you did today for income expenditure, you can refer to it, how sure are you, do it properly, tell me how you did it, cross multiply it beforehand, how do I explain it to you, I directly tell you to cross multiply it, do n't you think I don't know anything and then you explain it to me, oh not like that, 5x - I will directly tell you 5x - 60, do n't you explain it to me, very good. Now how are you going to explain it to me the way I explain it to you? Very nice. Yes. Income is assumed to be 5x and 7x as the ratio is given as 5:7. Speak evenly.

[00:44:50]Yes. Saved ₹60. So what happened to 5x - 60 and 7x - 60? What are 5x - 60 and 7x - 60?

[00:45:03]What is this? What is income mind saving?

[00:45:07]Yes, this would have been an expense for speaking. Then what is their ratio given?

[00:45:13]7:1 equal. What should you do now? Yes. Now there is cross multiplication, right? By explaining like this, you will explain it to someone else in future.

[00:45:25]In life, there is a need to convince many people. Isn't it? If you explain then the person in front of you should understand. Is it or not? So tell me the cross multiplication, after cross multiplying tell me how much will be 11 * 5x? 55x Very Good Boy. - 11 * 60 Lyrics.

[00:45:47]660 divided by 7 * 7x is what? How much is 49x - 7 * 60? 420 Okay, let me write this equal to equal to 49x - 420 then you will take 49x here.

[00:46:09]660 will be charged here, right? 55x - 49x = a becomes 660 plus. - 420 is correct.

[00:46:21]How much is 59x - 49x written? 6x = 660 - 420 240 What is x divided by 6?

[00:46:32]40 na re equal na? If I did it on Calcy, I would give a different answer.

[00:46:38]Yes. Let's go next. The value of x came out to be 40. But how much income did we assume? 5x and 7x then what is 5 * 40? How much will 200 and 7 * 40 come? Has everyone got 280?

[00:46:57]Let's now get this scratch and win the answer.

[00:47:01]Now I will scratch this.

[00:47:07]220 Wow, I won the lucky draw.

[00:47:12]Yes Online Students 280 is correct. Let's do one last question for today.

[00:47:18]Wait, I will tell you which one to do.

[00:47:25]Yes, question number one.

[00:47:31]10 years ago means after 10 years.

[00:47:37]Ok? Let us go. I have written one such question for you.

[00:47:39]Do question number one.

[00:47:54]Take your time and solve it comfortably. There is no need to rush.

[00:48:25]Zoya, do as much as I am telling you and your life will be successful.

[00:48:31]Ok? You don't take too much tension.

[00:48:45]Sheetal Wadhawan, do whatever is going on right now, we will see about the rest later, whatever I am getting done is enough, it is done, what is the matter.

[00:49:05]Online students have also given their answers.

[00:49:12]Tell me how did you do it? Yes. Read the ratio of present ages of Father and Son is 5:3 present ages assumed. How much?

[00:49:22]Ok. 5x End 3x OK. 10 years old.

[00:49:27]What will be the age of the father? Yes.

[00:49:34]What is the ratio of 5x + 10 and 3x + 10 given by the sun and their ratio? How much have you given? 3 2 equals cross multiply this here this here 2 * yx 10x + 2 * 10 = 20 3 * 3x 9x + 3 * 10 = 30 x term on one side numbers on the other side 10x - 9x = 30 - 20 x = 10 What did we assume and present age? 5x means 5 * 10 50 and 3x means 3 * 10 that is 30 50 and 30 was done while checking the answer by scratching.

[00:50:26]Done is perfect. So, have you understood everything that happened today very well? Now tomorrow we will finish it in ratio proportion and if some parts are left then we will finish it in ratio proportion. There is one more thing in it, variation, I will finish it in the class the day after tomorrow.

[00:50:47]Online Students Tell Me Weather It Is Clear To Everyone. Whatever has happened today Ishaan, ok Pratiksha is asking sir, how will I understand when to do plus, how did I explain it, why did you do plus, it is 10 years old, means after 10 years, if you are 17 years old today, then after 10 years you will be 27, right, that means your 10 years ago will be plus, if I say 10 years ago, then that will be minus because you will be 10 years younger. Is it or not? So you have to understand from that wording. Did Ego speak or Hans speak?

[00:51:37]Lord Fighter Group 10 Years. Hens means to minus. Hey, after 10 years, after 10 years, will it be 10 years older or smaller? Yes.

[00:51:51]What can I say about the statistics class? I don't take statistics at all. What can I say about statistics which I don't even take?

[00:52:04]Yes, understood? very good. very good.

[00:52:09]Yes perfect. It's done. Ok.

[00:52:17]Yes perfect. Done. So that's enough for today.

[00:52:20]See you tomorrow, we will continue this chapter and finish the ratio proportion.

[00:52:27]Ok? Then the variation is over the day after tomorrow so the entire chapter will be over the day after tomorrow.

[00:52:32]Ok? Come on, bye-bye.